Abstract
Properties of the four rotation bands, 157Er(1,2) and 158Er(1,2), at ultrahigh spin are investigated within the supersymmetry scheme including many-body interactions and possessing the SO(5) (or SU(5)) symmetry on the rotational symmetry. Quantitatively good results of the γ-ray energies and the dynamical moments of inertia in the rotation bands in 157Er and 158Er at ultrahigh spin are obtained. We theoretically predict that the competition between the anti-pairing and pairing effects may exist in 157Er(1,2) and 158Er(2) bands states. In 158Er(1) band state, the favoure-pairing effects may exist and the SO(5) (or SU(5)) symmetry play a dominant role. There may be sphere coexisting with headecupole deformed in 158Er(1) rotation band state.
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